Application of Queuing Theory in Highway Toll Station Design

Based on queuing theory, the paper compares the design requirements when assumed traffic flow is in Erlang distribution and negative exponential distribution respectively. The result shows that the accurate prediction of vehicle flow arrival is the important guarantee of highway toll station design. On this basis, the paper analyzes three capacity expansion schemes applicable to toll stations with limited space during peak and then deduces some calculation formulas used for the queuing model with both the vehicles interarrival times and the tollbooth service times being negative exponential distribution, thus providing an example for further explanation.